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Finding the Fourth Proportional to 4,771, 7,148.16 and 3,311.08

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Solution

The fourth proportional to 4,771, 7,148.16 and 3,311.08 is: 4,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771 : 7,148.16 = 3,311.08 : x
  2. Step 2: Convert to fraction form
    4,771/7,148.16 = 3,311.08/x
  3. Step 3: Cross multiply
    4,771x = 7,148.16 × 3,311.08
  4. Step 4: Simplify right side
    4,771x = 23,668,129.61
  5. Step 5: Solve for x
    x = 23,668,129.61/4,771
  6. Step 6: Final answer
    x = 4,960.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.